Results 51 to 60 of about 135,614 (263)

Modular forms and elliptic curves over the field of fifth roots of unity [PDF]

, 2010
Let F be the cyclotomic field of fifth roots of unity. We computationally investigate modularity of elliptic curves over F.Comment: Added appendix by Mark Watkins, who found an elliptic curve missing from our ...
Gunnells, Paul E., Hajir, Farshid, Yasaki, Dan   +2 more
core   +2 more sources

The Elliptic curves in gauge theory, string theory, and cohomology

, 2005
Elliptic curves play a natural and important role in elliptic cohomology. In earlier work with I. Kriz, thes elliptic curves were interpreted physically in two ways: as corresponding to the intersection of M2 and M5 in the context of (the reduction of M ...
D. Husemöller, D.-E. Diaconescu, D.R. Morrison, D.S. Freed, D.S. Freed, E. Diaconescu, G.W. Moore, H. Sati, H. Sati, Hisham Sati, I. Kriz, I. Kriz, I. Kriz, J. de Boer ., J. Evslin, J. Polchinski, J. Silverman, M. Ando, V. Mathai   +18 more
core   +1 more source

Numerical Modeling of Tank Cars Carrying Hazardous Materials With and Without Composite Metal Foam

Advanced Engineering Materials, EarlyView.
Large‐scale puncture models consisting of hazardous materials (HAZMATs) tank car with protective steel–steel composite metal foam (S–S CMF) are solved numerically. Tank car plate with added 10.91–13.33 mm thick S–S CMF layer does not puncture. Protective S–S CMF absorbs impact energy, reduces plate deformation, and prevents shear bands formation ...
Aman Kaushik, Afsaneh Rabiei
wiley   +1 more source

THEORETICAL ASSUMPTIONS FOR AN INTRODUCTION TO ELLIPTIC CURVE CRYPTOGRAPHY

STED Journal, 2023
Understanding elliptic curves contributed to solving mathematical problems in number theory that had been unsolved for centuries. Elliptic curves were also used in solving one of the millennial problems, which is Fermat's last theorem.
Ognjen Milivojević, Boris Damjanović
doaj   +1 more source

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

Advanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source

A NEW PROPOSED METHOD FOR SOLVING AN ELLIPTIC CURVE DISCRETE LOGARITHM PROBLEM

Journal of Kufa for Mathematics and Computer, 2012
In this work, we present a new approach for solving Elliptic Curve Discrete Logarithm Problem. This method provides a new access to the field of attacking methods the Elliptic Curve Cryptosystems.
Ammar Ali Neamah
doaj   +1 more source

Modulating Two‐Photon Absorption in a Pyrene‐Based MOF Series: An In‐Depth Investigation of Structure–Property Relationships

Advanced Functional Materials, EarlyView.
This study investigates H4TBAPy‐based metal–organic frameworks (MOFs) ‐ NU‐1000, NU‐901, SrTBAPy, and BaTBAPy ‐ for multiphoton absorption (MPA) performance. It observes topology‐dependent variations in the 2PA cross‐section, with BaTBAPy exhibiting the highest activity.
Simon N. Deger, Helmy Pacheco Hernandez, Yang Cui, Hongxing Hao, Vanessa Ramm, David C. Mayer, Khai‐Nghi Truong, Roland A. Fischer, Jürgen Hauer, Mariana Kozlowska, Alexander Pöthig   +10 more
wiley   +1 more source

Visualizing elements of Sha[3] in genus 2 jacobians

, 2010
Mazur proved that any element xi of order three in the Shafarevich-Tate group of an elliptic curve E over a number field k can be made visible in an abelian surface A in the sense that xi lies in the kernel of the natural homomorphism between the ...
B. Mazur, B. Poonen, C. O’Neil, E.F. Schaefer, G. Salmon, J.E. Cremona, J.E. Cremona, W. Bosma, W.A. Stein   +8 more
core   +3 more sources

3D‐Printed Sulfur‐Derived Polymers With Controlled Architectures for Lithium‐Sulfur Batteries

Advanced Functional Materials, EarlyView.
Rheology‐guided formulation design for direct ink writing enables the fabrication of 3D sulfur copolymer cathodes with controlled architectures for lithium‐sulfur batteries. The printed electrodes exhibit multiscale porosity and high sulfur utilization, delivering enhanced electrochemical performance compared to conventional cast electrodes.
Bin Ling, Haoran Wang, Pan Yang, Rishav Agrawal, Alex R. Neale, Laurence J. Hardwick, Tom Hasell, Esther García‐Tuñón   +7 more
wiley   +1 more source

Magnetic Force Microscopy Signatures of Higher‐Order Skyrmions and Antiskyrmions

Advanced Functional Materials, EarlyView.
Magnetic force microscopy operated under vacuum conditions enables the qualitative identification of higher‐order skyrmions and antiskyrmions in Co/Ni multilayers at room temperature. Distinct stray‐field contrast signatures arise from vertical Bloch lines and complex domain‐wall configurations.
Sabri Koraltan, Joe Sunny, Tamer Karaman, Reshma Peremadathil‐Pradeep, Emily Darwin, Felix Büttner, Dieter Suess, Hans Josef Hug, Manfred Albrecht   +8 more
wiley   +1 more source